A team of engineering students designs a medium-size catapult which launches 8-lb steel spheres. The launch speed is v = 80 ft/sec, the launch angle is 0 = 35 above the horizontal, and the launch position is 6 ft above ground level. The students use an athletic field with an adjoining slope topped by an 8 ft fence as shown. Determine: (a) the time duration t, of the flight (b) the xy coordinates of the point of first impact (c) the maximum height h above the horizontal field attained by the ball (d) the velocity (expressed as a vector) with which the projectile strikes the ground (or the fence) y = VO 80 ft/sec fence 8' 0 = 35 20' -x 100'- 30'-